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Finding the Fourth Proportional to 29,714.25, 44,581.31 and 9,724.65

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Solution

The fourth proportional to 29,714.25, 44,581.31 and 9,724.65 is: 14,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.25 : 44,581.31 = 9,724.65 : x
  2. Step 2: Convert to fraction form
    29,714.25/44,581.31 = 9,724.65/x
  3. Step 3: Cross multiply
    29,714.25x = 44,581.31 × 9,724.65
  4. Step 4: Simplify right side
    29,714.25x = 433,537,587.67
  5. Step 5: Solve for x
    x = 433,537,587.67/29,714.25
  6. Step 6: Final answer
    x = 14,590.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.